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Universal Gate Minterm, Sum of product, Maxterm and product of sum
Principal of duality and Demorgan’s theorems - Digital Electronics
16357    Arnab De    08/03/2019

### Principal of duality

One expression can be obtain from another expression by replacing the every 1 with 0, every 0 with 1, every (+) with (.), every (.) with (+). Any pair of expression satisfying this property is called dual expression. This characteristic of Boolean algebra is called the principle of duality.

### Demorgan’s Theorems

Two important theorems are proposed by DeMorgan. This two theorems have very important role in Boolean expression.

Theorem I: The Complement of a product is equal to the sum of the complements.

A.B = A + B

Theorem II: The Complement of a sum is equal to the product of the complements.

A + B = A . B

### Proof for DeMorgan’s theorems

 A B A B A+B A.B A+B A . B A . B A + B 0 0 1 1 0 0 1 1 1 1 0 1 1 0 1 0 0 0 1 1 1 0 0 1 1 0 0 0 1 1 1 1 0 0 1 1 0 0 0 0

Universal Gate Minterm, Sum of product, Maxterm and product of sum
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Arnab De
I have over 16 years of experience working as an IT professional, ranging from teaching at my own institute to being a computer faculty at different leading institute across Kolkata. I also work as a web developer and designer, having worked for renowned companies and brand. Through tutorialathome, I wish to share my years of knowledge with the readers.
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